Answer:
x=2
Step-by-step explanation:
10(3x−4)=30−5x
Step 1: Simplify both sides of the equation.
10(3x−4)=30−5x
(10)(3x)+(10)(−4)=30+−5x(Distribute)
30x+−40=30+−5x
30x−40=−5x+30
Step 2: Add 5x to both sides.
30x−40+5x=−5x+30+5x
35x−40=30
Step 3: Add 40 to both sides.
35x−40+40=30+40
35x=70
Step 4: Divide both sides by 35.
35x 70
____ = _____
35 35
x=2
Please mark as brainliest if answer right
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Really sorry if it is complicated
An engineer is designing a large steel pad to be installed on the deck of an aircraft carrier. Its total volume will be 18 yd^3. A scale model made of the same material measuring 6 feet by 4.5 feet and 4 inches thick weighs 75 lbs. If the steel costs $55/lb, how much will the material for the full-sized steel pad cost?
a) 12,375.00
b) 55,687.50
c) 82,500.00
d) 222,750.00
Answer:
The cost of the material for the full-sized pad is;
d) 222,750.00
Step-by-step explanation:
The parameters of the steel pad and the scale model are;
The volume of the deck = 18 yd³
The dimensions of the model of the same material = 6 feet by 4.5 feet and 4.5 inches thick
The weight of the sample, m₂ = 75 lbs
The cost of the steel, P = $55/lb
The dimensions of the sample in yards are;
6 feet = 2 yards, 4.5 feet = 1.5 yards, and 4 inches = 0.[tex]\overline 1[/tex] yards
The volume of the sample, V₂ = 2 yd. × 1.5 yd. × 0.[tex]\overline 1[/tex] yd. = (1/3) yd.³
The density of the sample material, ρ = m₂/V₂
∴ The density of the sample material, ρ = 75 lbs/((1/3)yd.³) = 225 lbs/yd³
Therefore, the density of the material of the pad, ρ = 225 lbs/yd³
The mass of the steel pad, m₁ = ρ × V₁
∴ The mass of the steel pad, m₁ = 225 lbs/yd³ × 18 yd³ = 4,050 lbs
The cost of the material for the full-sized steel pad, C = m₁ × P
∴ C = 4,050 lbs × $55/lb = $222,750
5 x / 3 > 5 Fill in the blank with a numerator or denominator to make the number sentence
true.
Answer:
Any number above 4 will make this true.
Step-by-step explanation:
(5 x 4)/ 3 = 20/3 = 6.67 > 5
Answer:
Any number greater than 3.
Step-by-step explanation:
If you multiply 5 by any number greater than 3 and then divide it by 3 it will result in a number bigger than 5.
If you multiply the 5 by a number less than three, and then divide it by 3 it will result in a number less than 5 which makes the equation false.
You also can't multiply 5 by 3 and then divide it by 3 because it will make the answer equal to 5. This makes the equation false.
20 POINTS I WILL GIVE YOU BRAINLIEST IF YOU CAN FIND EACH MISSING VARIABLE PLS PLS PLS
Answer:
145?
Step-by-step explanation:
Give the solution to the system
Answer:
f(x)=x+2g(x)=-1(x-4)f(x) represents the red line
g(x) represents the green line
if the variable x = 1
1+2=-1(1-4)3 = -1(1×(-3))
3 = -1×(-3)
3 = 3
Write an expression showing five less than the number A
Answer: A-5
Step-by-step explanation:
"A" the number and 5 which should be less than the number
You make the equation
A-5
Solve for x solve for x
Answer:
15
Step-by-step explanation:
The sum of angles around a point is added up to 360°.
Accordingly,
4x - 2 + 9x + 6 + 8x - 5 + 46 = 360
Combine like terms.
21x + 45 = 360
Subtract 45 from both sides.
21x = 360 - 45
21x = 315
x = 15
which quotient is greatest ?
A. 24.6 / 0.6
B. 2.46 / 0.06
C. 24.6 / 0.006
D. 2.46 / 0.006
Answer:
Step-by-step explanation:
Remark
The larger the numerator and the smaller the denominator, the bigger the quotient. Try and get the answer using that rule.
C
24.6 / 0.006 = 4100 Nothing is bigger than that.
Try D
2.46/0.006 =410
Find the hypotenuse of a right triangle that has a 13cm leg and a height of 7cm
Answer:
14.76 cm
Step-by-step explanation:
Use the pythagorean theorem:
a² + b² = c²
Plug in the side lengths and solve for c:
7² + 13² = c²
49 + 169 = c²
218 = c²
14.76 = c
So, the hypotenuse is approximately 14.76 cm
Circle A is defined as (x-5)^2+(y-6)^2=16, and circle B is defined as (x+3)+(y+2)^2=9. Which transformation of circle A shows that circle B is similar?
Answer: The answer is D
Step-by-step explanation:
Circle A has translated 2 units to the right and 8 units up to produce circle B ad circle B was reduced by a factor of 3/4
Transformation of coordinatesGiven the equation of circles A and B defined as (x-5)^2+(y-6)^2=16 and (x+3)+(y+2)^2=9
The scale factor of a dilation is given as:
k = √9/√16
k = 3/4
From the centers, we can see that circle A has translated 2 units to the right and 8 units up to produce circle B
Learn more on translation here: https://brainly.com/question/1046778
Please help I will mark you brainlest and give you 30 point!!
Answer:
im not sure but i think its x=6
Lara employed a residential cleaning service to tidy up her home. They charged her $150 for 3
hours of work. Her neighbor, Roy hired the same agency and paid them $225 for their services.
How many hours did they take to complete the job at Roy's home?
Answer:
Step-by-step explanation:
Find the rate that was charged for Lara's time
rate = dollars / hour
The use this rate to calculate how many hours it took to clean Roy's house, since the rates are the same. Solve for hours.....
rate for Lara = dollars / hour = $150 / 3 hour = $50 / hour
rate for Roy = dollars / hour Solve for hours
multiply both sides by hours
(rate for Roy) (hour) = (dollars / hour) (hour)
(rate for Roy) (hour) = (hour) (dollars / hour) right side hours cancel
(rate for Roy) (hour) = (dollars) divide both sides by (rate for Roy)
(rate for Roy) (hour) / (rate for Roy) = (dollars) / (rate for Roy)
now the rate for Roy on the leftside cancel
(rate for Roy) (hour) / (rate for Roy) = (dollars) / (rate for Roy)
(hour) = (dollars) / (rate for Roy) Plug in $225 charged to Roy
and the $50 / hour rate
hour = $225 / ($50/hour) ( 1 over 1 / hour ) = hour
= $(225/50) hour think about 1 / (1/2) = 2 the same with units
hour = 4.5 hours
Someone help me please ASAP
Answer:
false, should be left instead
Step-by-step explanation:
negative numbers on the left of zero, positive on the right
Answer:
False
Step-by-step explanation:
Negative numbers are to the left of zero (0) on a number line.
^
|
| type that in the box below
brainliest please
3:10 how many ways can you do it answer choices answer all fraction and decimals DONT PUT FILES I CANNOT CLICK THEM!!!!
Answer:whats the question
Explanation:(pls dont report me as soon as u tell me the question i will edit my answer and answer correctly)
Answer:
3/10, 6/20, 9/30, 12/40, 15/50, 18/60, 21/70, 24/80, 27/90, 30/100, 33/110, 36/120, 39/130, 42/140, 45/150, 48/160, 51/170, 54/180, 57/190, 60/200, 0.3
Step-by-step explanation:
Find the slope of the line. Write your answer in simplest form.
Answer:
Slope = -3/5
Step-by-step explanation:
slope (m) = y2 - y1 / x2 - x1
m = -2 - 1 / 1 - -4
m = -3 / 1 + 4
m = -3 / 5
You can check the work by counting rise (-3 which means 3 units down) over run (5 which means 5 units to the right)
Answer:
-3/5
Step-by-step explanation:
The line is y=-3/5x-1.4
Scale on map is Lin 86 mi if actual distance is 35 mi . Between two cities how far apart on the map are they
Answer:
0.41 cm
Step-by-step explanation:
The scale on the map is 1 in 86 mi.
This means that, 1 cm on the map represents 86 miles in real life, or on earth.
Then we're told that in real life, a distance is 35 miles, and how far they are on the map.
If 1 cm equals 86 miles, then we can say that x cm equals 35 miles
1 cm ----> 86
x cm ----> 35
x * 86 = 35 * 1
x = 35 / 86
x = 0.41 cm
Therefore, they must be 0.41 cm farther or closer apart on the map scale.
Help pls !!!! Math is fun
Answer:
16
Step-by-step explanation:
The ratio fo the lengths of the sides of a 30-60-90 triangle is
short leg : long leg : hypotenuse
1 : sqrt(3) : 2
In a 30-60-90 triangle, the length of the short leg is the length of the long leg divided by sqrt(3).
The length of the short leg is 8 cm.
The length of the hypotenuse is twice the length of the short leg.
g = 2 * 8 cm = 16 cm
Your school raised 125% of its fundraising goal.The School raised $4500.What was the goal?
Answer:
3600
Step-by-step explanation:
125%=4500
5*25%=4500
25%=900
125%-25%=100%
4500-900=3600
Which one of these statements correctly states Pythagoras' Theorem for the following diagram?
a) d 2 = e 2 − f 2
b) d 2 = e 2 + f 2
c) e 2 = d 2 + f 2
d) f 2 = d 2 + e 2
Answer:
I couldn't really read the problem that well, but if there's an e^2+f^2=d^2, then that's probably the correct option.
Step-by-step explanation:
John is planning a vegetable garden in the shape of a square. The area of the garden is 100 square feet. What will be the length of each side? Which explanation would be correct? A) 50 feet because you divide 100 by 2 B) 10 feet because you take the square root of 100 C) 25 feet because you have 4 sides of a square D) None of the above
Answer:c
Step-by-step explanation:
Bc if it’s a square there will be 4 corners and each will have the same number count so u have to put even numbers in each corner and that’s 25 25+25=50 25+25=50 50+50=100
pls helpppp!!
Its a math question i suck at math please help!
Find slope of line that passes through the points (2,-5) and (3,4).
Answer:
The slope is 9/1 or just 9.
Step-by-step explanation:
I used the y1-y2/x1-x2 slope formula.
Complete the table.
f(y) = 4y2 - 4v
f(v
-4
-3
-2
-1
Answer:
f(y) = 4y2 - 4v
f(y) = 4y² - 4(-4) = 4y² + 16
f(y) = 4y² - 4(-3) = 4y² + 12
f(y) = 4y² - 4(-2) =4y² + 8
f(y) = 4y² - 4(-1) = 4y² + 4
Step-by-step explanation:
Pls help Brainelist if correct
The first triangle is dilated to form the second triangle. What is the scale factor? Please show your math work step by step.
I need help seventh please question 3
Answer:
2) n=11
Step-by-step explanation:
[tex]2n - 6 < 16 \\ 2n - 6 + 6 < 16 + 6 \\ 2n < 22 \\ \frac{2n}{2} < \frac{22}{2} \\ answer = n < 11[/tex]
I hope it helps ^_^
enter the value for x that makes the equation, 4(x - 4) = 12x + 16 true.
Answer:
False your answer will 4x-16
Step-by-step explanation:
you have to distribute 4 to x and 4 to 4. so you will do 4*x=4x and 4*4=16. Now you still have the subtraction sign so your answer will be 4x-16.
Multiply o binomial by a trinomial
(x-1) (x²+x+1)
Answer:
Is this helpful or wrong?
Answer:
hey there, the product is x³ - 1
x is a 2 digit whole number how many digits does the number 10 x
Answer:
3
Step-by-step explanation:
Lets take 45 as an example, 10(45) = 450
450 is a 3 digit
answer
3
explanation
let's say X=99
99×10 =990
basically any two digit number multiplied by 10 will result in a 3 digit figure
hope it helps
8
z
5
+
4
y
−
4
z
3
+
z
8
z
5
+
4
y
-
4
z
3
+
z
Answer:
What???
Step-by-step explanation:
Cant see it?????
translated 7 units right and 2 units up.
Answer:
where was the starting point?
if the starting point was the origin then the translated point is (7, 2)
Answer:
are you talking about a graph? If it's from (0,0) then (7,2)
Step-by-step explanation:
radical form. ooooooooooo
Answer:
by using Pythagoras law
h²=p²+b²
7²=4²+b²
b²=49-16
b=√33=5.744
third side is 5.744
Answer:
missing length = 5.74
Step-by-step explanation:
[tex]a^{2} = c^{2} - b^{2}[/tex]
[tex]a^{2} = 7^{2} - 4^{2}[/tex]
[tex]a^{2} = 49 - 16[/tex]
[tex]a^{2} = 33[/tex]
[tex]\sqrt{a^{2} } = \sqrt{33}[/tex]
[tex]a = 5.74[/tex]